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Finding the Fourth Proportional to 10,040, 13,855.20 and 5,624

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Solution

The fourth proportional to 10,040, 13,855.20 and 5,624 is: 7,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040 : 13,855.20 = 5,624 : x
  2. Step 2: Convert to fraction form
    10,040/13,855.20 = 5,624/x
  3. Step 3: Cross multiply
    10,040x = 13,855.20 × 5,624
  4. Step 4: Simplify right side
    10,040x = 77,921,644.80
  5. Step 5: Solve for x
    x = 77,921,644.80/10,040
  6. Step 6: Final answer
    x = 7,761.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.